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x(1)= 5 sin (omega t + 30^(@)) , x2 = 10...

`x_(1)= 5 sin (omega t + 30^(@)) `, x2 = 10 cos (`omega `t) Find amplitude of resultant SHM.

Text Solution

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`x_(1) = 5 sin ( omega t + 30^(@))`
`x_(2) = 10 sin (omegat + (pi)/(2))`
`A=sqrt(5^(2)+10^(2)+2xx5xx10cos 60^(@))`
= `sqrt(25+100 +50)= sqrt(175) = 5sqrt(7)`
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